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Mazyrski [523]
3 years ago
10

If its length is 4x - 3 meters and its width is 2x + 6meters , what is the actual width of the rectangle?

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

p

=

2

(

4

x

+

3

)

+

2

(

2

x

−

6

)

or simplified  

p

=

12

x

−

9

Explanation:

By definition the perimeter of an object is the length of all its sides.

Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.

Therefore the equation for the perimeter of a rectangle can be written as:

p

=

2

⋅

l

+

2

⋅

w

where  

p

is the perimeter,  

l

is the length and  

w

is the width.

Substituting what was given about the length and width gives the equation:

p

=

2

(

4

x

+

3

)

+

2

(

2

x

−

6

)

Simplifying this equation gives:

p

=

8

x

+

3

+

4

x

−

12

p

=

8

x

+

4

x

+

3

−

12

p

=

12

x

−

9

Step-by-step explanation:

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3 years ago
Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0
3 years ago
Compare a perpendicular bisector and an altitude of a triangle
lara31 [8.8K]
Perpendicular bisectors are segment that passes through the mid point of a triangle, while altitude is the perpendicular distance from the base to the opposite vertex.
3 0
3 years ago
Please help, I have so much work to do, and I have to fit in time to study for a huge test they will determine my future
worty [1.4K]

Answer:

11

13

15

23

Step-by-step explanation:

you substitute each x value in the table with the x in the equation

f(x)= 2x+13

f(x)= 2(-1)+13 .... repeat for each

6 0
3 years ago
Read 2 more answers
Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-
gogolik [260]

Using the relation between velocity, distance and time, it is found that t = 3 hours.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

v = \frac{d}{t}

For this problem, the parameters are given as follows:

d = 15 miles, v = 5 mph

Hence the time in hours is found as follows:

v = \frac{d}{t}

5 = \frac{15}{t}

5t = 15

t = 15/5

t = 3 hours.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

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8 0
2 years ago
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